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Finding the Fourth Proportional to 30,980.96, 42,754.06 and 16,833.80

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Solution

The fourth proportional to 30,980.96, 42,754.06 and 16,833.80 is: 23,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.96 : 42,754.06 = 16,833.80 : x
  2. Step 2: Convert to fraction form
    30,980.96/42,754.06 = 16,833.80/x
  3. Step 3: Cross multiply
    30,980.96x = 42,754.06 × 16,833.80
  4. Step 4: Simplify right side
    30,980.96x = 719,713,423.16
  5. Step 5: Solve for x
    x = 719,713,423.16/30,980.96
  6. Step 6: Final answer
    x = 23,230.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.